431430006 has 48 divisors (see below), whose sum is σ = 1008065520. Its totient is φ = 122734080.

The previous prime is 431429987. The next prime is 431430019. The reversal of 431430006 is 600034134.

It is a super-2 number, since 2×431430006² = 372263700154320072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67810 + ... + 73898.

It is an arithmetic number, because the mean of its divisors is an integer number (21001365).

Almost surely, 2^431430006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431430006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504032760).

431430006 is an abundant number, since it is smaller than the sum of its proper divisors (576635514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431430006 is a wasteful number, since it uses less digits than its factorization.

431430006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 431430006 is about 20770.8932403014. The cubic root of 431430006 is about 755.6200079373.

The spelling of 431430006 in words is "four hundred thirty-one million, four hundred thirty thousand, six".